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Paper Citation Record · LEDGER

The statistics of curvature-profile dispersion in primordial black hole formation

As of 23 August 2026, this Paper Citation Record lists 84 of 84 outbound references and 2 inbound Pith citation observations for arXiv:2607.08738.

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pith.paper-citation-record.v1
2607.08738 v2

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measured 84 of 84 reference resolution

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Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:31:42.187123Z

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Source: pith, observed 2026-08-15T14:31:42.777456Z

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Outbound references

Observation ac16f7c7-71ef-4262-bdeb-816e13bef0df · outbound

This paper cites Hawking,Gravitationally Collapsed Objects of Very Low Mass,Monthly Notices of the Royal Astronomical Society152(1971) 75.

The statistics of curvature-profile dispersion in primordial black hole formation Hawking,Gravitationally Collapsed Objects of Very Low Mass,Monthly Notices of the Royal Astronomical Society152(1971) 75

Reference 1

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Observation b9387516-7986-42fe-95a9-d4a195c9e57e · outbound

This paper cites Carr and S.W.

The statistics of curvature-profile dispersion in primordial black hole formation Carr and S.W

Reference 2

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Observation baad6f47-39e7-4b93-9a06-652b1f99d811 · outbound

This paper cites Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -

Reference 3

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Observation 44b503de-9bc8-42c9-8578-86484cdbdc10 · outbound

This paper cites Constraints on Primordial Black Holes.

The statistics of curvature-profile dispersion in primordial black hole formation Constraints on Primordial Black Holes

Reference 4

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Observation d37744e5-0ddb-42c5-b26d-f13c053dccca · outbound

This paper cites Primordial Black Holes as a dark matter candidate.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial Black Holes as a dark matter candidate

Reference 5

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Observation 003910e4-5fa6-4442-9b76-2ee7e248fe11 · outbound

This paper cites Primordial Black Holes.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial Black Holes

Reference 6

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Observation 587cdad1-bc89-4f25-9e02-c0458985a6e6 · outbound

This paper cites Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity.

The statistics of curvature-profile dispersion in primordial black hole formation Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity

Reference 7

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Observation 2c55a21a-ac88-4425-8b94-4721babc24c2 · outbound

This paper cites Dynamics of Primordial Black Hole Formation.

The statistics of curvature-profile dispersion in primordial black hole formation Dynamics of Primordial Black Hole Formation

Reference 8

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Observation 40402d53-3d56-45b4-9f0e-016de716622c · outbound

This paper cites Hawke and J.M.

The statistics of curvature-profile dispersion in primordial black hole formation Hawke and J.M

Reference 9

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Observation e5927204-c5b2-4d31-8cf1-b68faa174a8e · outbound

This paper cites Computations of primordial black hole formation.

The statistics of curvature-profile dispersion in primordial black hole formation Computations of primordial black hole formation

Reference 10

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Observation d17dcbec-5898-4d71-9547-ad57e72b55c0 · outbound

This paper cites Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse

Reference 11

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Observation d44dcc37-9fbb-47eb-b364-05a49efdea8d · outbound

This paper cites Identifying the most crucial parameters of the initial curvature profile for primordial black hole formation.

The statistics of curvature-profile dispersion in primordial black hole formation Identifying the most crucial parameters of the initial curvature profile for primordial black hole formation

Reference 12

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Observation 9dccee54-92e8-4448-bb8d-519333394a31 · outbound

This paper cites Formalism for Primordial Black Hole Formation in Spherical Symmetry.

The statistics of curvature-profile dispersion in primordial black hole formation Formalism for Primordial Black Hole Formation in Spherical Symmetry

Reference 13

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Observation 8714508f-9633-4cd1-a486-85b85eb37c08 · outbound

This paper cites Primordial black hole and wormhole formation by domain walls.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial black hole and wormhole formation by domain walls

Reference 14

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Observation f688b4d0-1deb-41ae-90d2-979734efb34e · outbound

This paper cites Primordial black hole formation by vacuum bubbles.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial black hole formation by vacuum bubbles

Reference 15

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Observation 620f8024-7c4e-41d7-bad4-ad1c93b5cb61 · outbound

This paper cites Simulation of primordial black hole formation using pseudo-spectral methods.

The statistics of curvature-profile dispersion in primordial black hole formation Simulation of primordial black hole formation using pseudo-spectral methods

Reference 16

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Observation 29c4d85d-7ee6-4adf-9a78-47c437dd00ff · outbound

This paper cites Threshold of Primordial Black Hole Formation in Nonspherical Collapse.

The statistics of curvature-profile dispersion in primordial black hole formation Threshold of Primordial Black Hole Formation in Nonspherical Collapse

Reference 17

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Observation 5fb7dc79-f2c1-4d2c-926b-d37061c9e5a4 · outbound

This paper cites Primordial black hole formation from massless scalar isocurvature.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial black hole formation from massless scalar isocurvature

Reference 18

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Observation 454a3b73-cf5e-4b0c-94fc-788b21a27293 · outbound

This paper cites Simulation of Primordial Black Holes with large negative non-Gaussianity.

The statistics of curvature-profile dispersion in primordial black hole formation Simulation of Primordial Black Holes with large negative non-Gaussianity

Reference 19

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Observation 72d81359-9516-46d6-b153-f629cb6b9e90 · outbound

This paper cites Primordial Black Hole Formation during a Strongly Coupled Crossover.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial Black Hole Formation during a Strongly Coupled Crossover

Reference 20

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Observation 578125c3-de02-453b-a01e-17f27ffc1474 · outbound

This paper cites Simulations of PBH formation at the QCD epoch and comparison with the GWTC-3 catalog.

The statistics of curvature-profile dispersion in primordial black hole formation Simulations of PBH formation at the QCD epoch and comparison with the GWTC-3 catalog

Reference 21

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Observation 4bc3bdb8-6e77-45e0-a299-64c4d9664d37 · outbound

This paper cites Primordial black hole formation during the QCD phase transition: threshold, mass distribution and abundance.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial black hole formation during the QCD phase transition: threshold, mass distribution and abundance

Reference 22

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This paper cites Spinning primordial black holes formed during a matter-dominated era.

The statistics of curvature-profile dispersion in primordial black hole formation Spinning primordial black holes formed during a matter-dominated era

Reference 23

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Observation d84059fe-a118-4925-8b60-6050f645abe3 · outbound

This paper cites Primordial Black Holes and Induced Gravitational Waves from a Smooth Crossover beyond Standard Model.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial Black Holes and Induced Gravitational Waves from a Smooth Crossover beyond Standard Model

Reference 24

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Observation b7cebcdc-1e86-46ff-a0ad-63dc52d4248d · outbound

This paper cites Uehara, A.

The statistics of curvature-profile dispersion in primordial black hole formation Uehara, A

Reference 25

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Observation 8367045a-6571-48f3-8689-32d6f190945d · outbound

This paper cites Primordial black hole formation from a nonspherical density profile with a misaligned deformation tensor.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial black hole formation from a nonspherical density profile with a misaligned deformation tensor

Reference 26

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The statistics of curvature-profile dispersion in primordial black hole formation Escriv` a and C.-M

Reference 27

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This paper cites Primordial Black Hole Formation in a Scalar Field Dominated Universe: Investigation of the Critical nature of the Collapse.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial Black Hole Formation in a Scalar Field Dominated Universe: Investigation of the Critical nature of the Collapse

Reference 28

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Observation e93c6503-dde4-4cb2-a9db-8aa40fdfc3c6 · outbound

This paper cites Ning, X.-X.

The statistics of curvature-profile dispersion in primordial black hole formation Ning, X.-X

Reference 29

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This paper cites Primordial Black Hole Formation in a Scalar Field Dominated Universe.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial Black Hole Formation in a Scalar Field Dominated Universe

Reference 30

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This paper cites Kitajima,Primordial black hole formation from collapsing domain walls with full general relativity,2510.22759.

The statistics of curvature-profile dispersion in primordial black hole formation Kitajima,Primordial black hole formation from collapsing domain walls with full general relativity,2510.22759

Reference 31

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The statistics of curvature-profile dispersion in primordial black hole formation Germani and L

Reference 32

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The statistics of curvature-profile dispersion in primordial black hole formation Baumgarte, K

Reference 33

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The statistics of curvature-profile dispersion in primordial black hole formation Non-linear Dynamics and Primordial Black Hole Formation During Kination

Reference 34

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This paper cites Primordial Black Holes in a Radiation-Dominated Universe.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial Black Holes in a Radiation-Dominated Universe

Reference 35

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This paper cites Numerical simulations of primordial black hole formation via delayed first-order phase transitions.

The statistics of curvature-profile dispersion in primordial black hole formation Numerical simulations of primordial black hole formation via delayed first-order phase transitions

Reference 36

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Observation 0426e83f-84d8-4006-869f-301e7dd7c8d0 · outbound

This paper cites Primordial black hole formation in bulk-viscous cosmology.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial black hole formation in bulk-viscous cosmology

Reference 37

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This paper cites PBH formation from spherically symmetric hydrodynamical perturbations: a review.

The statistics of curvature-profile dispersion in primordial black hole formation PBH formation from spherically symmetric hydrodynamical perturbations: a review

Reference 38

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Observation 4dfc8f0a-ff58-463e-a3af-db20298363cf · outbound

This paper cites Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations.

The statistics of curvature-profile dispersion in primordial black hole formation Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations

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Observation 5f759699-e75a-4782-91ea-2a746e650f7b · outbound

This paper cites A universal threshold for primordial black hole formation.

The statistics of curvature-profile dispersion in primordial black hole formation A universal threshold for primordial black hole formation

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Observation 6af7e214-e3ba-4ac2-8a9d-c72e600cba1e · outbound

This paper cites Bardeen, J.R.

The statistics of curvature-profile dispersion in primordial black hole formation Bardeen, J.R

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Observation 138e6172-f264-4dd6-b99d-255c7fa22438 · outbound

This paper cites A new calculation of the mass fraction of primordial black holes.

The statistics of curvature-profile dispersion in primordial black hole formation A new calculation of the mass fraction of primordial black holes

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Observation a6f56b4c-5cd4-456d-b8de-091064b1dc1d · outbound

This paper cites The abundance of primordial black holes depends on the shape of the inflationary power spectrum.

The statistics of curvature-profile dispersion in primordial black hole formation The abundance of primordial black holes depends on the shape of the inflationary power spectrum

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Observation 5100d13f-e393-4a3e-b166-a5978a80bfd9 · outbound

This paper cites PBH abundance from random Gaussian curvature perturbations and a local density threshold.

The statistics of curvature-profile dispersion in primordial black hole formation PBH abundance from random Gaussian curvature perturbations and a local density threshold

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Observation 961b1d5a-546f-4933-ab59-d9156bfb36e4 · outbound

This paper cites Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation

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Observation 2a9dcb44-dfdb-4120-ab57-2a913db4a754 · outbound

This paper cites Non-linear statistics of primordial black holes from gaussian curvature perturbations.

The statistics of curvature-profile dispersion in primordial black hole formation Non-linear statistics of primordial black holes from gaussian curvature perturbations

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Observation 480c66e7-c964-4664-96e7-a9927c296814 · outbound

This paper cites Abundance of primordial black holes with local non-Gaussianity in peak theory.

The statistics of curvature-profile dispersion in primordial black hole formation Abundance of primordial black holes with local non-Gaussianity in peak theory

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Observation cbe1f812-a7c0-4826-9e8e-f14e08143961 · outbound

This paper cites Application of peaks theory to the abundance of primordial black holes.

The statistics of curvature-profile dispersion in primordial black hole formation Application of peaks theory to the abundance of primordial black holes

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Observation 46a939aa-34e0-4c13-93ae-537ca815b3ae · outbound

This paper cites Abundance of Primordial Black Holes in Peak Theory for an Arbitrary Power Spectrum.

The statistics of curvature-profile dispersion in primordial black hole formation Abundance of Primordial Black Holes in Peak Theory for an Arbitrary Power Spectrum

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Observation ae1328f9-bad3-476b-ba59-e2a06f791df1 · outbound

This paper cites The statistics of primordial black holes in a radiation dominated Universe -- recent and new results.

The statistics of curvature-profile dispersion in primordial black hole formation The statistics of primordial black holes in a radiation dominated Universe -- recent and new results

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Observation 3f5b372a-9cd2-4ac9-9906-b58fdc6bbeaa · outbound

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The statistics of curvature-profile dispersion in primordial black hole formation Unresolved cited work

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Observation 69317880-504d-4537-9f9f-a6305b03c784 · outbound

This paper cites Unexpected shape of the primordial black hole mass function.

The statistics of curvature-profile dispersion in primordial black hole formation Unexpected shape of the primordial black hole mass function

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Observation 84dde8d6-6335-412a-8615-ad5f8a9bcb88 · outbound

This paper cites PBH in single field inflation: the effect of shape dispersion and non-Gaussianities.

The statistics of curvature-profile dispersion in primordial black hole formation PBH in single field inflation: the effect of shape dispersion and non-Gaussianities

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Observation 134f697a-837b-4c6a-865e-e910ddf9482d · outbound

This paper cites Escriv` a, J.

The statistics of curvature-profile dispersion in primordial black hole formation Escriv` a, J

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Observation 64cdf2c4-9d12-4798-b76b-512789b15ef4 · outbound

This paper cites Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid.

The statistics of curvature-profile dispersion in primordial black hole formation Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid

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Observation e47adb6b-dc65-4ab5-a198-70f083c89cd4 · outbound

This paper cites Escriv` a and C.-M.

The statistics of curvature-profile dispersion in primordial black hole formation Escriv` a and C.-M

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Observation 699e0c8f-1995-4b9e-b839-e54225522294 · outbound

This paper cites Escriv` a,A new approach for simulating PBH formation from generic curvature fluctuations with the Misner-Sharp formalism,Phys.

The statistics of curvature-profile dispersion in primordial black hole formation Escriv` a,A new approach for simulating PBH formation from generic curvature fluctuations with the Misner-Sharp formalism,Phys

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Observation d098d275-fc58-4eb2-8436-6500b9e2829c · outbound

This paper cites Albert escriva github repository.

The statistics of curvature-profile dispersion in primordial black hole formation Albert escriva github repository

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Observation 14b55e17-7220-4f2c-a919-362883a1f70d · outbound

This paper cites How well do we know the primordial black hole abundance? The crucial role of nonlinearities when approaching the horizon.

The statistics of curvature-profile dispersion in primordial black hole formation How well do we know the primordial black hole abundance? The crucial role of nonlinearities when approaching the horizon

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Observation 74382a27-8fcc-4997-a405-47591b618e6c · outbound

This paper cites Non-Gaussianities and Primordial Black Holes.

The statistics of curvature-profile dispersion in primordial black hole formation Non-Gaussianities and Primordial Black Holes

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Observation f6139e02-f351-4048-a6ba-ecb2c68b5fd5 · outbound

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The statistics of curvature-profile dispersion in primordial black hole formation Primordial black hole formation with non-Gaussian curvature perturbations

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Observation 6bb5aec0-f641-4110-aa04-d37515fef3a8 · outbound

This paper cites Logarithmic Duality of the Curvature Perturbation.

The statistics of curvature-profile dispersion in primordial black hole formation Logarithmic Duality of the Curvature Perturbation

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Observation 3157fc44-8f21-4c43-8265-aef5c76f9b65 · outbound

This paper cites Escriv` a, V.

The statistics of curvature-profile dispersion in primordial black hole formation Escriv` a, V

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Observation 246f4212-147b-46fa-9375-b0916468cc6c · outbound

This paper cites Primordial Black Hole Formation from Type II Fluctuations with Primordial Non-Gaussianity.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial Black Hole Formation from Type II Fluctuations with Primordial Non-Gaussianity

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Observation b1e2e6d1-72b6-4b96-b57d-5826e2e42c3b · outbound

This paper cites Primordial black holes and induced gravitational waves from logarithmic non-Gaussianity.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial black holes and induced gravitational waves from logarithmic non-Gaussianity

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Observation ea53a9d8-1bc0-42be-a941-83dd24b65497 · outbound

This paper cites Separate Universes Do Not Constrain Primordial Black Hole Formation.

The statistics of curvature-profile dispersion in primordial black hole formation Separate Universes Do Not Constrain Primordial Black Hole Formation

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Observation 3e132009-b40b-4f7c-8358-e1ff19082234 · outbound

This paper cites Escriv` a,Threshold for PBH formation in the type-II region and its analytical estimation, Phys.

The statistics of curvature-profile dispersion in primordial black hole formation Escriv` a,Threshold for PBH formation in the type-II region and its analytical estimation, Phys

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Observation a6f3eeaf-e1fe-464f-9968-63bd1615af10 · outbound

This paper cites Threshold of primordial black hole formation.

The statistics of curvature-profile dispersion in primordial black hole formation Threshold of primordial black hole formation

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This paper cites Analytical thresholds for black hole formation in general cosmological backgrounds.

The statistics of curvature-profile dispersion in primordial black hole formation Analytical thresholds for black hole formation in general cosmological backgrounds

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Observation 4973dea4-e5ac-4662-98a2-6bfb2e10e322 · outbound

This paper cites Effects of the shape of curvature peaks on the size of primordial black holes.

The statistics of curvature-profile dispersion in primordial black hole formation Effects of the shape of curvature peaks on the size of primordial black holes

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Observation de7744b5-6d20-4d7b-9486-d68cb0f2cd35 · outbound

This paper cites Primordial black hole tower: Dark matter, earth-mass, and LIGO black holes.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial black hole tower: Dark matter, earth-mass, and LIGO black holes

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Observation 746afe52-d3de-4ba4-a705-24f5b0d4a01c · outbound

This paper cites Primordial Black Hole formation from overlapping cosmological fluctuations.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial Black Hole formation from overlapping cosmological fluctuations

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Observation d04b4f60-8309-4a2f-8a93-15df7817bae0 · outbound

This paper cites Primordial black hole compaction function from stochastic fluctuations in ultra-slow-roll inflation.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial black hole compaction function from stochastic fluctuations in ultra-slow-roll inflation

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Observation 0b63e766-b278-47f2-8f08-fb809a1d36c6 · outbound

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The statistics of curvature-profile dispersion in primordial black hole formation Raatikainen, S

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Observation 86c7f254-98a1-41bf-88cf-d4491d2e36d6 · outbound

This paper cites Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array.

The statistics of curvature-profile dispersion in primordial black hole formation Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array

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Observation d322231b-445f-4bc8-aaf9-66a8b369c2c2 · outbound

This paper cites Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I.

The statistics of curvature-profile dispersion in primordial black hole formation Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I

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Observation ed1b0648-0630-4565-b277-e3383dba3e5c · outbound

This paper cites The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities.

The statistics of curvature-profile dispersion in primordial black hole formation The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities

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Observation 86705705-48c2-46f3-90ed-d8362d5b2bef · outbound

This paper cites Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\mathrm{NL}}$ Considered.

The statistics of curvature-profile dispersion in primordial black hole formation Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\mathrm{NL}}$ Considered

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Observation 624845d7-221c-4916-8328-1fb5132201da · outbound

This paper cites Primordial non-Gaussianity as a saviour for PBH overproduction in SIGWs generated by Pulsar Timing Arrays for Galileon inflation.

The statistics of curvature-profile dispersion in primordial black hole formation Primordial non-Gaussianity as a saviour for PBH overproduction in SIGWs generated by Pulsar Timing Arrays for Galileon inflation

Reference 81

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Observation 863ffac7-56bd-4037-be10-5604f0cb1b9a · outbound

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The statistics of curvature-profile dispersion in primordial black hole formation The Detected Stochastic Gravitational Waves and Subsolar-Mass Primordial Black Holes

Reference 82

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Observation e27f29f9-1927-42da-8123-3093d4c25c54 · outbound

This paper cites A general proof of the conservation of the curvature perturbation.

The statistics of curvature-profile dispersion in primordial black hole formation A general proof of the conservation of the curvature perturbation

Reference 83

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Observation c8d05388-87fc-4fa0-b611-d626628d37ab · outbound

This paper cites Gradient expansion approach to nonlinear superhorizon perturbations II -- a single scalar field --.

The statistics of curvature-profile dispersion in primordial black hole formation Gradient expansion approach to nonlinear superhorizon perturbations II -- a single scalar field --

Reference 84

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Observation 19b7a77d-cd8c-4281-81cd-6a4531de403f · outbound

This paper cites Revisiting compaction functions for primordial black hole formation.

The statistics of curvature-profile dispersion in primordial black hole formation Revisiting compaction functions for primordial black hole formation

Reference 85

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Observation e0a352e5-854f-40e2-840d-cfb560e18eeb · outbound

This paper cites Cosmological long-wavelength solutions and primordial black hole formation.

The statistics of curvature-profile dispersion in primordial black hole formation Cosmological long-wavelength solutions and primordial black hole formation

Reference 86

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Pith citing papers

Observation b51c8330-ae28-4617-98ee-f6bdeb6028f5 · inbound

Primordial black holes forming during kination: the trapped, the overdense, and the void cites this paper.

Primordial black holes forming during kination: the trapped, the overdense, and the void The statistics of curvature-profile dispersion in primordial black hole formation

Reference 75

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Observation 9fdc0d5b-0a55-49e1-9315-ce9a16362cd7 · inbound

Long-term 3+1 simulations of primordial black hole formation during radiation domination cites this paper.

Long-term 3+1 simulations of primordial black hole formation during radiation domination The statistics of curvature-profile dispersion in primordial black hole formation

Reference 44

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